This modified gravity theory has versatile applications and hence it appeared to be quite intriguing to researchers in the field of Astrophysics and Cosmology. Glavan and Lin [1]} themselves applied the theory to the case of static spherically symmetric vacuum black hole which fetches out quite a different results from what was obtained for Schwarzchild Black Holes and is open to debate in terms of acceptability. Gurses et. al [2]} showed that, Einstein Gauss Bonnet gravity does not provides any intrinsic 4D solution in terms of metric, though the viability of the solutions is appropriate in \(D>4\)  scenarios. Further extension of this theory was applied to evaluate the thermodyanmics of Rotating and non-rotating black holes and calculate parameters like mass, temperature, entropy etc using EGB gravity. [3]}, [4]}, [5]}, [6]}, [7]}. Along with that, this theory is successfully applied for the cases of Black gravitational Lensing of both strong and weak types [3]}, thermodynamics of EGB Anti de Sitter Black Holes [9]}, evaluating the Quasi Normal Modes [10]}, Geodesic motions and for spinning test particles [11]}, Hawking radiation [12]} and even in wormhole solutions [13]}.
Apart from the Black Hole problems, EGB find its application on case of Neutron Stars. The core of the neutron stars is still an area not much explored yet. Recent inventions of Neutron stars of 2\(M_\odot \)  pushes the equation of state of matter inside the stars to farthest extent but the inner sanctum remains a mystery. The determination of inner core matter is quite non-trivial as the composition varies with the nature of interaction and quark matter, hyperon matter, Bose Einstein condensate strange mesons are all considered to be the core matter or might be present in fraction. But the the invention of 2\(M_\odot \)  Neutron stars like PSR J1614-2230 [\(1.97 \pm 0.04M_\odot \) ] [14]} and J0348+0432 [\(2.01 \pm 0.04M_\odot \) ] [15]} brought criterion on the nature of the core matter. According to Quantum Chromodynamics [QCD], it supports the conversion of hadronic matter into deconfined quarks inside the neutron stars. This invention makes the Bodmer-Witten hypothesis quite important to the context as it already predicted for a quark-matter component in the cosmic rays detected from neutron stars [16]}, [17]}. This basically strengthens the presence of Quark Stars.
